6142416384 has 160 divisors (see below), whose sum is σ = 18192835584. Its totient is φ = 1828823040.

The previous prime is 6142416377. The next prime is 6142416407. The reversal of 6142416384 is 4836142416.

It is a super-3 number, since 3×6142416384³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614047 + ... + 623969.

Almost surely, 2^6142416384 is an apocalyptic number.

6142416384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6142416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9096417792).

6142416384 is an abundant number, since it is smaller than the sum of its proper divisors (12050419200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6142416384 is a wasteful number, since it uses less digits than its factorization.

6142416384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9988 (or 9972 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 6142416384 is about 78373.5694223505. The cubic root of 6142416384 is about 1831.3854145123.

The spelling of 6142416384 in words is "six billion, one hundred forty-two million, four hundred sixteen thousand, three hundred eighty-four".